Which shows one way to determine the factors of 12x3 – 2x2 18x – 3 by grouping?.

Answers

Answer 1

The equation which shows the one way to determine the factors of provided equation by grouping is,

[tex]2x^2(6x-1)+3(6x-1)[/tex]

What is a factor of polynomial?

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The provided polynomial equation is,

[tex]12x^3 - 2x^2 +18x - 3[/tex]

To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.

[tex]12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)[/tex]

Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,

[tex]2x^2(6x-1)+3(6x-1)[/tex]

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Related Questions

Help meeeeeeeeeeeee question 1 !!!!

Answers

Answer:

7 times $8 = 56

Step-by-step explanation:

Question 1:

So, we are going to multiply 7 by $8.

If Brandie earns 8 dollars an hour, then we can multiply 8 by 7 to find out how much money Brandie earns in 7 hours.

Now multiply 8 by 7.

8 * 7 = 56

The independent variable is the hours. The hours can change, but this affects what the dependent result is.

The amount of money stays the same.

The dependent variable is the result, which is the total amount of money earned.

Hope this helps!

You ask a question with 4 possible responses. Each possible response is given by at least
10 customers. What is the maximum number of customers giving any one response?
a) 10
b) 20
c) 40
d) 70

Answers

Answer:

40

Step-by-step explanation:

4•10(10 answers at 4 people)

A race car game takes 6 points from a player each time the player hits a cone. What integer represents the change in total points if the player hits 10 cones?​

Answers

Given:

A race car game takes 6 points from a player each time the player hits a cone.

To find:

The integer which represents the change in total points if the player hits 10 cones.

Solution:

According to the given information,

1 hit = -6 points

Here, negative sign represents the reduction in points after hitting a cone.

If the player hits 10 cones.

(1 × 10) hit = (-6 × 10) points

10 hit = -60 points

So, the change in total points if the player hits 10 cones is -60.

Therefore, the required integer is -60.

Answer: 60

Step-by-step explanation:

based on the given conditions, formulate: 

 Calculate the product or quotient: 60

get the result Answer: 60

Good luck

Find 12.48+(-10.636) Write your answer as a decimal.

Answers

Answer:

1.844

Step-by-step explanation:

easyy

Find the area of the shaded region of circle F below. Round your answer to the
nearest tenth if necessary.

Answers

Check the picture below, so the shaded area is really just the area of one quarter of a circle's area with a radius of 7, and a triangle whose base is 7 and height is 7, so let's simply sum both of them up.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{quarter of a circle}}{\cfrac{1}{4}(\pi)(7)^2}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(7)(7)}}\implies \cfrac{49\pi }{4}~~ + ~~\cfrac{49}{2}~~ \approx~~63.0[/tex]

When asked to draw a triangle with two 45 angles and a side length of 8 cm, Diego drew this triangle.

Do you agree with Diego’s answer?

Is there a different triangle Diego could have drawn that would answer the question? Explain or show your reasoning

Answers

The triangle is an equilateral triangle, therefore, Diego didn't draw the right triangle.

What is a triangle?

A triangle simply means a polygon that has three edges and vertices. It's a shape in geometry.

In this case, I don't agree with Diego's drawing as the triangle is an equilateral triangle and this means that each side is 60° and not 45° as illustrated.

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7 times the quantity of 3 times a number reduced by 10

Answers

Answer:

3 times a number:

3x

Reduced by 10 means we subtract 10:

3x - 10

7 times this quantity:

7(3x - 10)

Therefore, your answer is 7(3x - 10).

Hoepfully this helps!!

The equations below were created by students who were asked to write equivalent expressions on either side of the equals sign. Imagine you are a teacher. Your job is to decide whether their work is right or wrong. If you see an equation that is false, then: Say it is False. Then how you know it is false. 2(n + 3) = 2n + 3 *

Answers

Answer/Step-by-step explanation:

Given that a student wrote the following equation:

[tex] 2(n + 3) = 2n + 3 [/tex]

Looking at the expression on both sides, they don't seem equal. To be sure, use any value to represent "n" in the equation. Then, simply. If what you have on your left is equal to what you have in your right, then the equation is TRUE. If otherwise, it is FALSE.

Let n = 2

[tex] 2(n + 3) = 2n + 3 [/tex]

[tex] 2n + 6 = 2n + 3 [/tex]

Plug in the value of n

[tex] 2(2) + 6 = 2(2) + 3 [/tex]

[tex] 4 + 6 = 4 + 3 [/tex]

[tex] 10 = 7 [/tex]

This is not FALSE. 10 ≠ 7.

Therefore, the equation written by the student is FALSE.

Please help I know how to do this but there’s too much

Answers

Answer: See attached images

Step-by-step explanation:

For third period:

Minimum = 67

1st Quartile: 79.5

Median/2nd Quartile: 85

3rd Quartile: 90.5

Maximum = 99

I've attached the image for this class's box plot.

For Sixth Period:

Minimum = 70

1st Quartile: 79.5

Median/2nd Quartile: 88

3rd Quartile: 90.5

Maximum = 95

I've also attached the image for this class's box plot

What is the solution set for - 4x + 10 > 5x + 55?

Answers

Answer:

x<−5

Step-by-step explanation:

Let's solve your inequality step-by-step.

−4x+10>5x+55

Step 1: Subtract 5x from both sides.

−4x+10−5x>5x+55−5x

−9x+10>55

Step 2: Subtract 10 from both sides.

−9x+10−10>55−10

−9x>45

Step 3: Divide both sides by -9.

−9x

−9

>

45

−9

x<−5

Four brother each bought two hotdogs and a bag of chips at the football
concession stand. If the bag of chips was $1.25, and the total was $18.20.
what was the price of ONE hotdog?
$1.65
$2.11
$2.27
$3

Answers

Answer:

A-$1.65

Step-by-step explanation:

You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the  left over amount from subtracting the chips you get how much each hot dog is worth.

Paolo is solving the inequality 15+2x>31.

To solve the inequality, he begins by solving the equation as shown.

Which number line represents the solution to the inequality?

Answers

Answer:

The number line that shows x > 8

Step-by-step explanation:

First, subtract 15 from both sides

15 + 2x -15 > 31

2x > 16

Then divide both sides by 2

2x ÷ 2 > 16 ÷ 2

x > 8

The answer is:

x > 8

Work/explanation:

To solve this inequality, we need to isolate x.

So first, I subtract 15 on each side:

[tex]\sf{2x > 31-15}[/tex]

[tex]\sf{2x > 16}[/tex]

Now, divide each side by 2:

[tex]\sf{x > 8}[/tex]

Hence, the answer is x > 8.

Select the reason that best supports Statement 6 in the given proof.

Answers

Answer: D. Subtraction property of equality

Step-by-step explanation:

They are subtracting 6 from both sides of the equality.

Lewis recently filed bankruptcy and now has a poor credit rating. he moved into an apartment and is setting up new accounts for his electric and cable. the deposits and connection fees for customers based on their credit rating are shown below. electric deposit electric connection fee cable deposit cable connection fee good rating $90 $50 $65 $75 poor rating $205 $75 $150 $110 how much more in deposits and fees will lewis pay to have his electric and cable turned on because of his bankruptcy? a. $260 b. $280 c. $360 d. $540

Answers

Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.

What is bankruptcy?

Bankruptcy is a legal proceeding involving a person or business that is unable to repay its outstanding debts.

Had Lewis not filed bankruptcy, he would have paid = 90+50+65+75

He would have paid (let us say amount A)= $280

After filing for bankruptcy he has to pay = 205+75+150+110

He has to pay (let us say amount B)= $540

Difference between amount A and amount B = $540-$280

Difference between amount A and amount B = $260

Therefore, Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.

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A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 9 hours? What is the rate of speed of the jet?

Answers

Answer:

235 miles per hour and 2,115 miles in 9 hours

Step-by-step explanation:

First determine how many miles the jet files in one hour:

470/2 =235 miles/hour

We want to know how many hours the jet could fly in 9 hours, so we multiply this value by 9.

235 x 9 = 2115 miles

Therefore, the jet could fly 2115 miles in 9 hours.

The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 flat fee for shipping. If the school orders 15 T-shirts, how much will the total cost be?

Answers

Answer:

$95

Step-by-step explanation:

Step one: Multiply the number of shirts and cost of the shirt. Which is $45.

Step two: Add the shipping fee ($50) to $45

Step three: After adding those you should get $95 as your answer.

*Sorry if I'm incorrect*

Which number is farthest from 2 on the number line? StartRoot 2. 1 EndRoot StartRoot 2. 4 EndRoot StartRoot 2. 5 EndRoot StartRoot 2. 9 EndRoot.

Answers

A number line is a representation of a graded straight line. The value that is farthest from 2 is √2.1.

What is a number line?

A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are indicated by the symbol 'R'. A real number is considered to correspond to every point on a number line, and a point to every real number.

On the number line, positive numbers are on the right side of the number line while negative numbers are on the left side of the number line. Now, the value of all the given options can be written as,

[tex]\sqrt{2.1}=1.45 \\\\\sqrt{2.4}=1.55\\\\\sqrt{2.5}=1.58\\\\\sqrt{2.9}=1.7[/tex]

As we can see that the approximate value of the square root values is written above the value that is farthest from 2 is 1.45.

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What is the slope of the graph of 5x - 2y = 20?​

Answers

Answer:

slope

5/2

y-inter

-10

The slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the equation of the line as 5x - 2y = 20.

We have the equation of the line as -

5x - 2y = 20

2y = 5x - 20

y = (5/2)x - 10

[m] = 5/2

Therefore, the slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2

To solve more questions on straight lines, visit the link below-

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#SPJ2

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

5? This has to be 20 letters long for me to send i think the number is 5

The gas mileage of two trucks was compared from two different advertisements. The information is shown in the table. If the best gas mileage is the highest rate, which truck has the BEST gas mileage?ATruck A, because for every mile the truck uses 19 gallons. BTruck A, because for every gallon the truck goes 19 miles. CTruck B, because for every mile the truck uses 18 gallons. DTruck B, because for every gallon the truck goes 18 miles

Answers

The gas mileage of the trucks is the number of miles traveled per gallon of gas

The truck that has the best gas mileage is (b) Truck A, because for every gallon the truck goes 19 miles.

How to determine the true statement

As stated above, gas mileage measures the miles traveled by one gallon of gas.

This means that options (a) and (c) cannot be true, because these options measure the number of gallons used per mile

From the complete question, truck A uses 1 gallon for 19 miles, while truck B uses 1 gallon for 18 miles.

19 miles per gallon is greater than 19 miles per gallon

This means that truck A has the greater mileage

Hence, option (B) is true

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There are 2 cups in 1 pint.
Use the drop-down menus to help write the equation that can be used to find the
number of cups, c, given the number of pints, p.

Answers

The equation that shows the relationship between the number of cups and pints is c = 2p.

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

Elliot's dinner bill, including a 15% tip, is $12.65. what was the amount of the bill before the tip?

Answers

Answer:

Step-by-step explanation:

Very simple, if the total was $12.65, and they included a 15% tip, so we do 12.65 *15%=1.8975

So we subtract that by 12.65 and our answer is approximately $10.75

Answer:

The Correct Answer Is : 11

Step-by-step explanation:

I Just Took The Test

In a cafeteria 1/10 of the students are eating salads, and, 2/5 are eating sandwiches. there are 20 students in the cafeteria. how many students are eating lunches other than salads or sandwiches

Answers

20 x 1/10 have salads = 2 students

and

20 x 2/5 have sandwiches = 8 students

so 10 students are eating lunches other than salads or sandwiches

(20 - 2 - 8)

or 1/10 + 2/5 = 1/10 + 4/10 = 5/10 have salad and sandwich

so 5/10 have no salad no sandwich

and 5/10 x 20 = 10

Answer:

5/10, or 1/2

Step-by-step explanation:

2/5 = 4/10

4/10 + 1/10 = 5/10

10/10 - 5/10 = 5/10

Simplified, 1/2

pls mark brainlnst

Given AC=BD, and AB and CD bisect each other. Prove: <A = <B​

Answers

Step-by-step explanation:

so <A=<B

Hope it helps

for any question comment me ❤❤❤

Select the correct answer.
Find the solution(s) for x in the equation below.

Answers

x²-9x+20=0x²-5x-4x+20=0x(x-5)-4(x-5)=0(x-4)(x-5)=0

So

x=4 and x=5

Option B

Answer:

B(x=4,x=5)

Step-by-step explanation:

Here,

[tex]x^{2} -9x+20=0[/tex]

We can find the value of x by various methods.

Method 1

By using formula

x=-b±√b²-4ac/2a

For ax²+bx+c=0

Here,

a=1, b=9, c=20

Putting the values.

x=-b±√b²-4ac/2a

x=-(-9)±√9²-4×1×20/2×1

Taking positive one.

[tex]x=\frac{-(-9)+ \sqrt{81-80} }{2} \\\\x=\frac{9+1}{2} \\\\x=5[/tex]

Taking negative one.

[tex]x=\frac{-(-9)- \sqrt{81-80} }{2} \\\\x=\frac{9-1}{2} \\\\x=4[/tex]

x=5,x=4

Method 2

[tex]\hookrightarrow x^{2} -9x+20=0\\\\\hookrightarrow x^{2}-4x-5x+20=0\\\\\hookrightarrow x(x-4)-5(x-4)=0\\\\\hookrightarrow (x-5)(x-4)=0[/tex]

x-5=0....I

x-4=0.....II

Solving equation I

x-5=0

x=5

Solving equation II

x-4=0

x=4

Look at this table:

x y
1 15
3 6
3 8
12 18

Is this relation a function?

Answers

Answer:

No, because the you have two of the same inputs.

Is it A, B, C, or D?

Answers

Answer:

The answer is C.

HELP ASAP I give total 100 points and big brain!! answer these pless

1.A system of equations consists of two lines. One line passes through (0, 4) and (1, 7) . The other line passes through (−1, −5) and (5, 13) .

Does the line through the first pair of points intersect the line through the second pair of points?
yes or no
2.
Select the correct choices to complete the sentence.
A system of equations consists of two lines. One line passes through (0, 2) and (9, −1) . The other line passes through (12, 7) and (−6, −5) .

Does the line through the first pair of points intersect the line through the second pair of points? yes or no

Answers

Step-by-step explanation:

Find the slopes of the lines and compare. The lines intersect if slopes are different.

Q1

Slopes are

[tex]m_1= (7-4)/(1-0)=3\\[/tex][tex]m_2= (13+5)/(5+1)=3\\[/tex]

Slopes are same, lines are parallel

Q2

Slopes are

[tex]m_1= (-1-2)/(9-0)=-3/9=-1/3\\[/tex][tex]m_2= (-5-7)/(-6-12)=-12/-18=2/3\\[/tex]

Lines intersect as slopes are different

Slopes must not be equal to get intersection

#1

For first line

m=7-4/1-0=3/1=3

For second

m=13+5/5+1=18/6=3

No,Parallel

#2

First

m=-1-2/9-0-3/-9=1/3

Second

m=-5-7/-6-12=-12/-18=2/3

Yes, Intersect

Sara buys 2 pounds of grapes every
8
week for 12 weeks. How many pounds of
grapes did Sara buy over the 12 week
period?

Answers

Answer:

I think 24 weeks that's my answer


.A car travels 480km in 4 hours. How long would it travel in 18 hours.​

Answers

Answer:

2160

Step-by-step explanation:

18/4= 4.5

480km * 4.5= 2160

Answer:

2160

Step-by-step explanation:

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